Question

In the Biomedical and Physical Sciences building at MSU there are 138 steps from the ground floor to the sixth floor. Each step is 16.4 cm tall. It takes 4 minutes and 44 seconds for a person with a mass of m = 85.6 kg to walk all the way up. How much work did the person do?

What was the average power performed by the person during the walk?

How many food Calories did the person burn during the walk? (1 Cal = 4.1868 kJ. Do not enter unit for this part.)

Answer 1

(1) mass of the person m = 85.6 kg;

Height of each steps h = 0.164 m;

Total number of steps n = 138;

total height H = nh = 138 x 0.164 = 22.632 m;

time taken by the person t = 4 min 44 sec = 284 sec;

1 cal = 4186.8 J;

Solution:

(A) work done by the person;

(B) average power comsumed by person;

(C) since 1 cal = 4186.8 J;

therefore;